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Finding the Fourth Proportional to 10,602.14, 14,629.86 and 6,127.34

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Solution

The fourth proportional to 10,602.14, 14,629.86 and 6,127.34 is: 8,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.14 : 14,629.86 = 6,127.34 : x
  2. Step 2: Convert to fraction form
    10,602.14/14,629.86 = 6,127.34/x
  3. Step 3: Cross multiply
    10,602.14x = 14,629.86 × 6,127.34
  4. Step 4: Simplify right side
    10,602.14x = 89,642,126.37
  5. Step 5: Solve for x
    x = 89,642,126.37/10,602.14
  6. Step 6: Final answer
    x = 8,455.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.